What is the limit as x approaches 0+of e^{0/x} ?

The limit as x approaches 0+of e^{0/x} is 1

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limit as x approaches 0+of e^{0/x}

x \to 0 + lim (e^{\frac{0}{x}})

1

Solution steps

x \to 0 + lim (e^{\frac{0}{x}})

Simplify

= x \to 0 + lim (1)

x \to a lim c = c

= 1

x \to 0 lim (\frac{x ^{n}}{e ^{x}})

x \to 1 lim ((x + 2) (x - 2))

x \to - 2 lim (2 x^{2} + x + 10)

x \to 7 - lim (\frac{5 x}{x - 7})

x \to 1 lim (e^{\frac{1}{x}})

What is the limit as x approaches 0+of e^{0/x} ?
The limit as x approaches 0+of e^{0/x} is 1